The rupee ended lower by 7 paise to 62.31 against the American currency on fresh dollar demand from banks.
While Sensex fell 14.4% since July 26, dollar investors lost 18.07%.
The rupee continued to slide against the pound sterling and finished at 102.64 as against 102.25 previously.
Forex dealers said besides robust month-end demand for the American currency from oil importers, dollar's strength against its rival currencies on expectations of rising interest rates amid lingering Sino-US trade tensions, weighed on the domestic currency.
Robust foreign capital inflows into upbeat domestic equity markets on the back of better macro fundamentals helped the rupee to gain
The dollar index was trading marginally higher by 0.06 per cent.
Overseas, the US dollar hovered near a three-week low.
Noting that the United States economic recovery is still not strong enough, the Federal Reserve has said it would pursue with the proposed $600-billion government securities buyout plan.
Dealers have said the RBI may impose a separate window to oil companies to provide them with US dollars.
Demand for the dollar from importers weighed on the local currency.
The rupee ended marginally higher by two paise at 62.24 against the dollar on Wednesday.
Kotak Mahindra Bank was the biggest gainer on both the indices, ending nearly 9 per cent higher following reports that Warren Buffett's Berkshire Hathaway Inc was planning to pick up stake in the private sector lender.
Top gainers of the session included Bajaj Auto, Kotak Bank, M&M, Vedanta, IndusInd Bank, Asian Paints, HDFC Bank, Reliance Industries, HUL, HDFC, ITC, Tata Steel and Tata Motors, rallying up to 5 per cent.
The rupee depreciated 20 paise to close at 63.84 in Monday's trade.
While selling started in April, it has intensified this month, with FPIs pulling out $1.1 billion and $2.5 billion from equities and debt market, respectively
The rupee was last at 62.05/06 after gaining to as high 61.9650 against the dollar, its highest since Nov 19. It had closed at 62.44/45 on Friday.
The relentless rise of the rupee was partially stemmed on Thursday by the intervention of the Reserve Bank of India (RBI) in foreign exchange markets - possibly the first such instance this year.
The rupee touched a high and low of 65.91 agaisnt the greenback during the day.
The rupee had revisited the near 2-month low of 60.55 per dollar earlier in the session.
On Friday, the rupee had lost 6 paise.
The US dollar jumped in overseas market on Wednesday.
The rupee had lost 11 paise to close at 66.44 against the dollar.
They may well be, but investments in euro-denominated bonds will give higher safe returns, says Martin Feldstein.
Indian rupee washed out initial losses against the greenback.
The Indian rupee tumbled in line with its Asian peers due to persistent risk-off sentiment on the back of broad dollar strength.
The RBI fixed the reference rate for the dollar at 65.2525 and for the euro at 72.1954.
Dealers attributed the rupee's fall to increased demand for the US currency from importers.
Recovering from early losses, the rupee on Friday ended marginally higher at 64.81 against the US dollar.
The domestic currency had lost 44 paise in the previous two days.
The rupee has strengthened against the American greenback by about 4.8 per cent during the past few months, while it has hit a 150-month low on November 11 against the major world currencies.
The dollar index was trading lower by 0.03 per cent against its major global rivals today.
The Rupee on Thursday breached the 49-mark against the US dollar and fell by 52 paise in early trade following increased capital outflow by foreign funds due to melting stock markets.
Weakness in euro against the dollar weighed on the rupee.
However, foreign capital inflows into equity market restricted the rupee's fall to some extent.
Investors are anxious over the US-China trade tension, a sharp devaluation in yuan and uncertainty over Kashmir issue.
The gold prices may rebound to Rs 13,000-level in the domestic markets by June if rupee remains resilient against the US currency, experts believe. Dollar denominated gold gets cheaper when the rupee rises against the greenback.
The Indian rupee had lost 10 paise to close at 64 on Thursday.
Dealers said increased demand for dollar from importers mainly put pressure on the local unit but a higher opening in the domestic equity market and gains in other currencies overseas against the dollar capped the losses.
The rupee strengthened by 13 paise to 61.67 against the US dollar at close.
Increased selling of the US dollar by exporters supported the rupee.